Question

4(sin^4 30+cos^2 60)-3(cos^2 45-sin^2 90)-sin^2 60.Please answer this.

Answer 1

=4[(1/2)^4+(1/2)^2]-3[1/√2)^2-1^2)-(√3/2)^2

=4(1/16+1/4)-(1/2-1)-3/4

=4/16+4/4-3(1-2/2)-3/4

=1/4+1-3(-1/2)-3/4

=5+6-3/4

=8/4

=2